Mathematical Apparatus for Boundary Value Problems in Gravity Field Studies and the Geometry of the Solution Domain

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Mathematical Apparatus for Boundary Value Problems in Gravity Field Studies and the Geometry of the Solution Domain

Popis výsledku v původním jazyce

A relation between the description of the physical surface of the Earth and the structure of the Laplace operator seems to be an important moment in the solution of boundary value problems in physical geodesy. Here, similarly as in other branches of engineering and mathematical physics a transformation of coordinates may be used to solve an alternative between the boundary complexity and the complexity of the coefficients of the partial differential equation governing the solution. In a sense, in the theory of the figure of the Earth the problem is of an intrinsic nature. For instance the Laplace operator has a relatively simple structure in terms of spherical coordinates which are frequently used in geodesy. However, the physical surface of the Earthsubstantially differs from a (geocentric) sphere of (even optimally chosen) radius. The situation may be more convenient in a system of curvilinear coordinates such that the physical surface of the Earth is imbedded in the family of coord

Název v anglickém jazyce

Mathematical Apparatus for Boundary Value Problems in Gravity Field Studies and the Geometry of the Solution Domain

Popis výsledku anglicky

A relation between the description of the physical surface of the Earth and the structure of the Laplace operator seems to be an important moment in the solution of boundary value problems in physical geodesy. Here, similarly as in other branches of engineering and mathematical physics a transformation of coordinates may be used to solve an alternative between the boundary complexity and the complexity of the coefficients of the partial differential equation governing the solution. In a sense, in the theory of the figure of the Earth the problem is of an intrinsic nature. For instance the Laplace operator has a relatively simple structure in terms of spherical coordinates which are frequently used in geodesy. However, the physical surface of the Earthsubstantially differs from a (geocentric) sphere of (even optimally chosen) radius. The situation may be more convenient in a system of curvilinear coordinates such that the physical surface of the Earth is imbedded in the family of coord

Druh

A - Audiovizuální tvorba

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

ISBN

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Místo vydání

Vienna

Název nakladatele resp. objednatele

European Geosciences Union

Verze

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Identifikační číslo nosiče

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